| Date: |
May 8 (Thu), 2008, 15:30 - 17:30 |
| Place: |
Room 630, 6th floor, Research Centers Building, Kashiwa Campus of the University of Tokyo. |
| Speaker: |
Yukinobu Toda (IPMU) |
| Title: |
Limit stable objects on Calabi-Yau 3-folds. |
| Abstract: |
The purpose of this talk is to introduce the notion of
limit stability on the category of perverse coherent sheaves
on Calabi-Yau 3-folds, and construct new enumerative invariants
of curves via limit stable objects. I will show that such invariants
are generalizations of stable pair invariants introduced by
Pandharipande
and Thomas. I will also propose a conjectual wall-crossing formula of
our new invariants, and show that such a formula will solve the
rationality conjecture of the generating functions of stable pair
invariants.
|
